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lions [1.4K]
3 years ago
8

What is the means-to-MAD ratio of the two data sets, expressed as a decimal?

Mathematics
1 answer:
frez [133]3 years ago
3 0
<span>You have to calculate two separate measures, one for each set.The mean-to-MAD ratio is the mean divided by the MAD, i. e. mean / MAD. For the set 1, mean = 10.7 and MAD = 2.4, then mean / MAD = 10.7 / 2.4 = 4.4583. For the set 2, mean = 13.7 and MAD is 2.5, so mean/ MAD = 13.7 / 2.5 = 5.480.</span>
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Identify each function that has a remainder of -3 when divided x+6
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Answer:

D

Step-by-step explanation:

According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.

<em>So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.</em>

<em />

<em>For A:</em>

x^5 + 2x^2 - 30x + 30\\=(-6)^5 + 2(-6)^2 - 30(-6) + 30\\=-7494

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x^4 + 4x^3 - 21x^2 - 53x + 12\\=(-6)^4 + 4(-6)^3 - 21(-6)^2 - 53(-6) + 12\\=6

For C:

x^3 - 10x^2 - 7\\=(-6)^3 - 10(-6)^2 - 7\\=-583

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x^4 + 6x^3 - 10x - 63\\=(-6)^4 + 6(-6)^3 - 10(-6) - 63\\=-3

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.

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